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Water from a reservoir maintained at a c...

Water from a reservoir maintained at a constant temperature of `80^(@)C` is added at a slow and steady rate of m `= 3 gs^(-1)` to a calorimeter initially containing 1000 g of water at `20^(@)C`. The water in the calorimeter is stirred slowly to make the temperature uniform. Assume heat loss to the surrounding and work done in stirring is negligible and heat capacity of the calorimeter is negligible. Write the temperature of water in the calorimeter as a function of time.

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The correct Answer is:
`theta = 80-60 (1+(3t)/(1000))^(-1)`
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